76127040 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 18247680.

The previous prime is 76127039. The next prime is 76127057. The reversal of 76127040 is 4072167.

76127040 is a `hidden beast` number, since 7 + 612 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76126995 and 76127013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855316 + ... + 855404.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^76127040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

76127040 is an abundant number, since it is smaller than the sum of its proper divisors (223430400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76127040 is a wasteful number, since it uses less digits than its factorization.

76127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76127040 is about 8725.0810884484. The cubic root of 76127040 is about 423.8182441580.

The spelling of 76127040 in words is "seventy-six million, one hundred twenty-seven thousand, forty".